Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490bk |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
3414528 |
Modular degree for the optimal curve |
Δ |
-1.0269311119442E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -1 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10055723,12372465147] |
[a1,a2,a3,a4,a6] |
Generators |
[1715:-13854:1] |
Generators of the group modulo torsion |
j |
-9082538350921/82944000 |
j-invariant |
L |
6.3302463702501 |
L(r)(E,1)/r! |
Ω |
0.15657735710075 |
Real period |
R |
0.5183189079796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830f1 32490m1 |
Quadratic twists by: -3 -19 |